answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BaLLatris [955]
2 years ago
7

At time t=3, there are 2.5 cubic feet of water in the tub. Write an equation for the locally linear approximation of W at t=3, a

nd use it to approximate the volume of water in the tub at time t=3.5
Mathematics
2 answers:
velikii [3]2 years ago
4 0

Answer:

W=0.8333*t

2.917 ft³

Step-by-step explanation:

At time t=3, there is 2.5 ft³ of water in the tub

Finding the relation will be;

3=2.5

1=?

Rate=0.8333 ft³/min

W=0.8333 ft³ / min

W=0.8333*t

At t=3.5 will be;

1 min = 0.8333

3.5 min =?

Apply cross-production

3.5*0.8333 =2.917 ft³

kotykmax [81]2 years ago
3 0

Answer:

<em>W= 2.952 cubic feet.</em>

Step-by-step explanation:

<em>From the equation given, we recall that,</em>

<em>At time t= 3, w= 2.5</em>

<em>Using Linear Approximation</em>

<em>(W - 2.5) = w¹ (3) { t -3}  - [ W¹ (3) = f (3) = tan⁻¹ (π)/2 - 3/10 = 0.904</em>

<em>W = 2.5 + 0.904 ( t -3)</em>

<em>W = 2.5 + 0.904t - 2.712</em>

<em>W = 0.904t - 0.212</em>

<em>at t = 3</em>

<em>W = 0.904 (3.5) - 0.212</em>

<em>W = 2.952 </em>

<em>Therefore the cubic feet is 2.952</em>

<em />

You might be interested in
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
2 years ago
A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the oceanis 12.5°. If a point on the ocean fl
Travka [436]

Answer:

The 13.2 meters from that point on the ocean floor to the wreck.

Step-by-step explanation:

As given

A ship's sonar finds that the angle of depression to a ship wrack on the bottom of the ocean is 12.5°.

If a point on the ocean floor is 60 meters.

Now by using the trigonometric identity.

tan\theta = \frac{Perpendicular}{Base}

As shown in the figure given below.

Perpendicular = CB

Base = AC = 60 meters

\theta = 12.5^{\circ}

Put in the identity

tan\ 12.5^{\circ} = \frac{CB}{AC}

tan\ 12.5^{\circ} = \frac{CB}{60}

tan\ 12.5^{\circ} = 0.22

tan\ 12.5^{\circ} = 0.22

0.22= \frac{CB}{60}

CB = 60 × 0.22

CB = 13.2 meters

Therefore the 13.2 meters from that point on the ocean floor to the wreck.







8 0
2 years ago
A boy lost 55% of his pocket money.if he had 67½kobo left,how much was his pocket money?​
Charra [1.4K]

Answer:

100 kobo

Step-by-step explanation:

100%-55%=45%                                                                                                       45%=67 and 1/2                    what about                                                                100%=?                                                                                                                      You cross multiply=  <u>100%× 67</u><u>1/2</u>

                                     45%                                                                                   =                           =  <u>100%× 135 ×1 </u>                                                                            =                                          2      45%                                                                         =                           = 50× 2 = 100                                                                           100 ÷2=50                                                                                                             135÷45=2                                                                                                                % cancelled %                                                                                                         So the final answer =    100

3 0
2 years ago
A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function
vitfil [10]

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

7 0
2 years ago
Hillel is juggling flaming torches to raise money for charity. His initial appearance raises \$500$500dollar sign, 500, and he r
Svetlanka [38]

Answer:

$R = $500 + $15(t)

Step-by-step explanation:

in this question, we are told to give a mathematical expression that would model the amount of money that is made by Hillel.

from the question, we were made to understand that the amount of money he makes is a front of his time t. that is noted.

and also, he has a base cost of $500.

now, let’s write an equation;

R = $500 + 15(t)

where t represents the length of the performance as suggested by women

3 0
2 years ago
Other questions:
  • Javier drove 45 miles. this represents 60% of his entire rode trip. what is the total number of miles in javier's trip?
    14·1 answer
  • Sandy has $200 in her bank account.
    15·1 answer
  • The graph of the function f is shown. f(3) =
    13·2 answers
  • What's 5/6 as a decimal rounded to the nearest hundredth
    8·1 answer
  • You are buying a new internet service. The service costs \$75$75dollar sign, 75 per month. In the equation below, ddd is the tot
    5·1 answer
  • Audrey has 400 songs on her MP3 player. Of these songs, 150 are by female vocalists, 75 are by male vocalists, and 175 are by gr
    12·1 answer
  • Which expression represents the calculation “subtract 10 from 36, then divide by 6”
    14·1 answer
  • A holiday company charters an aircraft to fly to Malta at
    11·2 answers
  • a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and
    14·1 answer
  • Indicate the data relationship for each table. A 2-column table with 4 rows. Column 1 is labeled x with entries 3, 4, 5, 6. Colu
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!